Live analysis

1,008,864

1,008,864 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,008,864 (one million eight thousand eight hundred sixty-four) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 31 × 113. Its proper divisors sum to 1,978,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF64E0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,852 1,008,853 1,008,854 1,008,855 1,008,856 1,008,857 1,008,858 1,008,859 1,008,860 1,008,861 1,008,862 1,008,863 1,008,864 1,008,865 1,008,866 1,008,867 1,008,868 1,008,869 1,008,870 1,008,871 1,008,872 1,008,873 1,008,874 1,008,875 1,008,876

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,688,001
Recamán's sequence: a(347,723) = 1,008,864
Square (n²): 1,017,806,570,496
Cube (n³): 1,026,828,407,936,876,544
Divisor count: 72
σ(n) — sum of divisors: 2,987,712
φ(n) — Euler's totient: 322,560
Sum of prime factors: 160

Primality

Prime factorization: 2 ⁵ × 3 ² × 31 × 113

Nearest primes: 1,008,863 (−1) · 1,008,871 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 31 · 32 · 36 · 48 · 62 · 72 · 93 · 96 · 113 · 124 · 144 · 186 · 226 · 248 · 279 · 288 · 339 · 372 · 452 · 496 · 558 · 678 · 744 · 904 · 992 · 1017 · 1116 · 1356 · 1488 · 1808 · 2034 · 2232 · 2712 · 2976 · 3503 · 3616 · 4068 · 4464 · 5424 · 7006 · 8136 · 8928 · 10509 · 10848 · 14012 · 16272 · 21018 · 28024 · 31527 · 32544 · 42036 · 56048 · 63054 · 84072 · 112096 · 126108 · 168144 · 252216 · 336288 · 504432 (half) · 1008864

Aliquot sum (sum of proper divisors): 1,978,848

Factor pairs (a × b = 1,008,864)

1 × 1008864

2 × 504432

3 × 336288

4 × 252216

6 × 168144

8 × 126108

9 × 112096

12 × 84072

16 × 63054

18 × 56048

24 × 42036

31 × 32544

32 × 31527

36 × 28024

48 × 21018

62 × 16272

72 × 14012

93 × 10848

96 × 10509

113 × 8928

124 × 8136

144 × 7006

186 × 5424

226 × 4464

248 × 4068

279 × 3616

288 × 3503

339 × 2976

372 × 2712

452 × 2232

496 × 2034

558 × 1808

678 × 1488

744 × 1356

904 × 1116

992 × 1017

First multiples

1,008,864 · 2,017,728 (double) · 3,026,592 · 4,035,456 · 5,044,320 · 6,053,184 · 7,062,048 · 8,070,912 · 9,079,776 · 10,088,640

Sums & aliquot sequence

As consecutive integers: 336,287 + 336,288 + 336,289 112,092 + 112,093 + … + 112,100 32,529 + 32,530 + … + 32,559 15,732 + 15,733 + … + 15,795

Aliquot sequence: 1,008,864 → 1,978,848 → 3,649,320 → 9,022,680 → 20,798,280 → 46,797,300 → 119,754,540 → 243,501,444 → 387,798,876 → 613,163,268 → 936,777,306 → 956,093,478 → 956,093,490 → 1,971,829,710 → 3,519,063,090 → 5,865,105,870 → 11,123,574,930 — keeps growing

Continued fraction of √n

√1,008,864 = [1004; (2, 2, 1, 2, 2, 2008)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand eight hundred sixty-four
Ordinal: 1008864th
Binary: 11110110010011100000
Octal: 3662340
Hexadecimal: 0xF64E0
Base64: D2Tg
One's complement: 4,293,958,431 (32-bit)
Scientific notation: 1.008864 × 10⁶
As a duration: 1,008,864 s = 11 days, 16 hours, 14 minutes, 24 seconds

In other bases

ternary (3) 1220020220100

quaternary (4) 3312103200

quinary (5) 224240424

senary (6) 33342400

septenary (7) 11401203

nonary (9) 1806810

undecimal (11) 629a7a

duodecimal (12) 407a00

tridecimal (13) 29427c

tetradecimal (14) 1c393a

pentadecimal (15) 14ddc9

As an angle

1,008,864° = 2,802 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬八千八百六十四
Chinese (financial): 壹佰萬捌仟捌佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٨٨٦٤ Devanagari १००८८६४ Bengali ১০০৮৮৬৪ Tamil ௧௦௦௮௮௬௪ Thai ๑๐๐๘๘๖๔ Tibetan ༡༠༠༨༨༦༤ Khmer ១០០៨៨៦៤ Lao ໑໐໐໘໘໖໔ Burmese ၁၀၀၈၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008864, here are decompositions:

5 + 1008859 = 1008864
7 + 1008857 = 1008864
11 + 1008853 = 1008864
13 + 1008851 = 1008864
47 + 1008817 = 1008864
71 + 1008793 = 1008864
83 + 1008781 = 1008864
163 + 1008701 = 1008864

Showing the first eight; more decompositions exist.

Hex color

#0F64E0

RGB(15, 100, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.224.

Address: 0.15.100.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.100.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,008,864 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,008,864 on Google Patents ↗ Look up on USPTO ↗